A Revisit to Probability - Possibility Consistency Principles

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Mamoni Dhar 1,*

1. Department Of Mathematics, Science College, Kokrajhar-783370, Assam, India

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2013.04.09

Received: 20 May 2012 / Revised: 17 Sep. 2012 / Accepted: 15 Nov. 2012 / Published: 8 Mar. 2013

Index Terms

Superimposition of Sets, Glivenko- Cantelli’s Theorem, Dubois and Prade Definition of a Normal Fuzzy Number, FMF, PDF


In this article, our main intention is to highlight the fact that the probable links between probability and possibility which were established by different authors at different point of time on the basis of some well known consistency principles cannot provide the desired result. That is why the paper discussed some prominent works for transformations between probability and possibility and finally aimed to suggest a new principle because none of the existing principles because none of them found the unique transformation. The new consistency principle which is suggested hereby would in turn replace all others that exist in the literature references by providing a reliable estimate of consistency between the two.Furthermore some properties of entropy of fuzzy numbers are also presented in this article.

Cite This Paper

Mamoni Dhar, "A Revisit to Probability - Possibility Consistency Principles", International Journal of Intelligent Systems and Applications(IJISA), vol.5, no.4, pp.90-99, 2013. DOI:10.5815/ijisa.2013.04.09


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